Question

indicate why the following hypotheses are not constructed correctly.

a. H₀: μ ≤ 10; H_A: μ ≥ 10
  

• The alternative hypothesis H_A should not have the equality sign.

• The hypothesized value is not the same under the null and alternative hypotheses.

• Hypothesis testing is about a sample statistic.

b. H₀: μ ≠ 500; H_A: μ = 500
  

• The alternative hypothesis H_A should not have the equality sign.

• The hypothesized value is not the same under the null and alternative hypotheses.

• Hypothesis testing is about a sample statistic.

c. H₀: p ≤ 0.40; H_A: p > 0.42
  

• The alternative hypothesis H_A should not have the equality sign.

• The hypothesized value is not the same under the null and alternative hypotheses.

• Hypothesis testing is about a sample statistic.

Answer 1

Answer :

(a).

given that :

the null and alternative hypotheses is,

H₀: μ ≤ 10

H_A: μ ≥ 10

the correct answer for the given statement is,

option (A) is correct that is

(A). The alternative hypothesis H_A should not have the equality sign.

(b).

given that :

the null and alternative hypotheses is,

H₀: μ ≠ 500

H_A: μ = 500

the correct answer for the given statement is,

option (A) is correct that is

(A). The alternative hypothesis H_A should not have the equality sign.

(c).

given that :

the null and alternative hypotheses is,

H₀: p ≤ 0.40

H_A: p > 0.42

the correct answer for the given statement is,

option (B) is correct that is

(B). The hypothesized value is not the same under the null and alternative hypotheses.